{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 使用sklearn的决策树接口实现鸢尾花分类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.tree import DecisionTreeClassifier, plot_tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_classes = 3\n",
    "plot_colors = 'ryb'\n",
    "plot_step = 0.02"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.suptitle(\"Decision surface of a decision tree using paired features\")\n",
    "plt.axis('tight')\n",
    "\n",
    "for pairidx, pair in enumerate([[0, 1], [0, 2], [0, 3],\n",
    "                                [1, 2], [1, 3], [2, 3]]):\n",
    "    X = iris.data[:, pair]\n",
    "    y = iris.target\n",
    "\n",
    "    clf = DecisionTreeClassifier().fit(X, y)\n",
    "\n",
    "    plt.subplot(2, 3, pairidx + 1)\n",
    "    \n",
    "    x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "    y_min, y_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, plot_step),\n",
    "                         np.arange(y_min, y_max, plot_step))\n",
    "    plt.tight_layout(h_pad=0.5, w_pad=0.5, pad=2.5)\n",
    "\n",
    "    Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    cs = plt.contourf(xx, yy, Z, cmap=plt.cm.RdYlBu)\n",
    "\n",
    "    plt.xlabel(iris.feature_names[pair[0]])\n",
    "    plt.ylabel(iris.feature_names[pair[1]])\n",
    "    \n",
    "    for i, color in zip(range(n_classes), plot_colors):\n",
    "        idx = np.where(y == i)\n",
    "        plt.scatter(X[idx, 0], X[idx, 1], c=color, label=iris.target_names[i],\n",
    "                    cmap=plt.cm.RdYlBu, edgecolors='black', s=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "clf = DecisionTreeClassifier().fit(iris.data, iris.target)\n",
    "plot_tree(clf, filled=True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
